Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bx |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66113985576960 = 221 · 38 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10305,-91935] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:46008:1] |
Generators of the group modulo torsion |
j |
461710681489/252204840 |
j-invariant |
L |
4.3586582177013 |
L(r)(E,1)/r! |
Ω |
0.50597336248083 |
Real period |
R |
4.3072012687886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bj2 7440s2 89280ed2 |
Quadratic twists by: -4 8 -3 |